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Finding the Third Proportional to 1,115.02 and 2,408.48

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Solution

The third proportional to 1,115.02 and 2,408.48 is: 5,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.02 : 2,408.48 = 2,408.48 : x
  2. Step 2: Convert to fraction form
    1,115.02/2,408.48 = 2,408.48/x
  3. Step 3: Cross multiply
    1,115.02x = 2,408.48 × 2,408.48
  4. Step 4: Simplify right side
    1,115.02x = 5,800,796.98
  5. Step 5: Solve for x
    x = 5,800,796.98/1,115.02
  6. Step 6: Final answer
    x = 5,202.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.